Draw a displacement-time graph for a body moving with uniform velocity

Answer:

The change in length per unit length per degree rise in temperature of copper is 0.000017k

Explanation:

Given that :

The linear expansivity of copper is 0.000017k. This simply means that ; for a given copper length, the length of such copper will increase by 0.000017k for every degree rose in temperature of the copper rod.

Therefore, the change in length per unit length per degree rise in temperature (k) is 0.000017

For a spacecraft is traveling with a velocity of Vox-5690 m/s:

To solve this problem, use the equations of motion to calculate the final velocity and the vertical component of the velocity. Assume that the initial velocity in the y-direction is zero.

Given:

Initial velocity in the x-direction (V₀ₓ) = -5690 m/s

Time of engine firing (t) = 865 s

Acceleration in the x-direction (ax) = 1.45 m/s²

Acceleration in the y-direction (ay) = -8.66 m/s²

(a) To calculate the final velocity (v), use the equation:

v = V₀ₓ + ax × t

Substituting the values:

v = -5690 m/s + 1.45 m/s² × 865 s

v = -5690 m/s + 1254.25 m/s

v ≈ 685.25 m/s

Therefore, the final velocity (v) is approximately 685.25 m/s.

(b) To calculate the vertical component of the velocity (vy), use the equation:

vy = ay × t

Substituting the values:

vy = -8.66 m/s² * 865 s

vy = -7484.9 m/s

Therefore, the vertical component of the velocity (vy) is -7484.9 m/s.

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The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

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Answer:

0.25705 cm or 2.5705×10⁻³ m

Explanation:

Applying,

α = ΔL/(LΔT)................. Equation 1

Where α = coefficient of linear expansivity, ΔL = Increase in length, L = Original length, ΔT = Increase in temperature

make  ΔL the subject of the equation

ΔL = α(LΔT)............... Equation 2

From the question,

Given: α = 10⁻⁶ C⁻¹, L = 4850 cm, ΔT = T₂-T₁ = (55-2) = 53 °C

Substitute these values into equation 2

ΔL = (10⁻⁶)(4850)(53)

ΔL = 0.25705 cm or 2.5705×10⁻³ m

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt.  This is:

a = Δv / Δt

a = (96 m/s - 32 m/s) / (8.0 s)

a = 64 m/s / 8 s

The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:

τ = r * F * sin(θ)

where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.

In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.

Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:

τ_M = r_M * F_M * sin(θ)

where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.

Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:

τ_M = τ_stick

r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)

Substituting the given values:

30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)

Solving for F_M:

F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)

F_M = 0.0264 kg * 9.8 m/s^2

F_M = 0.25872 N

Finally, we can convert the force into mass using the formula:

F = m * g

0.25872 N = M * 9.8 m/s^2

M = 0.0264 kg

Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

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Answer:

Using Ohm's Law, we can calculate the voltage of the battery as V = IR = (4 A)(7 Ω) = 28 V.

The total resistance of the circuit is R = R₁ + R₂ + r, where r is the internal resistance of each element.

We know that R₁ = 14 Ω and R = 7 Ω, so we can solve for R₂:

R₂ = R - R₁ = 7 Ω - 14 Ω = -7 Ω

This is a negative resistance, which doesn't make sense physically. However, it indicates that there is an error in the problem or the calculations.

To find the internal EDS of the elements, we can use the equation:

V = ε - Ir

where V is the voltage of the battery, ε is the internal EDS of each element, I is the current flowing in the circuit, and r is the internal resistance of each element.

We know that V = 28 V, I = 4 A, and r = 6 Ω, so we can solve for ε:

ε = V + Ir = 28 V + (4 A)(6 Ω) = 52 V

Therefore, the internal EDS of each element is 52 V.

Of the options listed, the only effect that can be caused by exposure to infrared light is overheating (option a).

Infrared light is a form of electromagnetic radiation that is invisible to the human eye but can be detected as heat. When exposed to high levels of infrared light, such as in close proximity to a powerful infrared source, it can lead to overheating of the body or objects. Skin cancer (option b) is not directly caused by infrared light. It is primarily associated with overexposure to ultraviolet (UV) radiation from the sun or artificial sources like tanning beds. UV radiation falls in the higher energy range of the electromagnetic spectrum, while infrared radiation has lower energy. Radiation sickness (option c) is caused by exposure to high-energy ionizing radiation, such as gamma rays or X-rays. Infrared light does not possess enough energy to cause ionization and is therefore not capable of inducing radiation sickness. Memory loss (option d) is not a known effect of exposure to infrared light. Memory loss can be attributed to various factors, such as neurological conditions, head injuries, or aging, but not specifically to infrared light exposure. In summary, while exposure to high levels of infrared light can lead to overheating, it does not cause skin cancer, radiation sickness, or memory loss.

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Answer:

Depends on position

Explanation:

Rest:

A body is said to be at rest, if it does not change its position with respect to its surroundings.

Motion:

A body is said to be in motion, if it changes its position with respect to its surroundings.

The state of rest and motion is relative

Answer:

The electromagnetic force.

Answer:

It is electrical force

Explanation:

i got it wrong on A P E X  with magnetic hope this helps!

Answer:

Option C

Explanation:

Divide the issue into its main parts and discuss each part.

Answer: We get chemical energy from foods, which we use to run about, and move and talk  kinetic and sound energy  Chemical energies are stored in fuels which we burn to release thermal energy - this is one way of making electricity, see Electricity for more information



hope this helps

i answered to the wrong question, apologies.

Answer:

Explanation:

Energy can can be transferred from one form to another in many ways,

Forms of energy that exist are Chemical Energy, Nuclear Energy

Electrical Energy Heat Energy and others.

one example is conversation of chemical energy by stove to heat energy.

Chemical energy which a form of energy that allow substance to experience chemical reaction, when a gasoline which posses chemical energy is put into stove then it convert this chemical energy to heat energy through burning which helps our food to cook as a result of heat energy gotten

The pinecone experiences air resistance on average at a force of 5.0725 N.

The difference in kinetic energy between the air resistance and no air resistance scenarios represents the work done by air resistance. When an item is traveling downward, Wg = mgh, gravity is doing work. 1. (a) The total work is equal to the sum of the forces of gravity and air resistance.

Calculate the pinecone's initial kinetic energy (when it is dropped) and its final kinetic energy in order to determine the work done on it by air resistance. (when it lands on the ground).

The initial kinetic energy of the pinecone is:

KEi = (1/2) * m * vi²

where m is the pinecone's mass and vi is its starting speed (when it is dropped).

KEi = (1/2) * 0.16 kg * (0 m/s)² = 0 J

Since the pinecone is at rest when it is dropped, its initial kinetic energy is zero.

The final kinetic energy of the pinecone is:

KEf = (1/2) * m * vf²

where vf is the final velocity of the pinecone (when it lands on the ground).

KEf = (1/2) * 0.16 kg * (13 m/s)² = 106.24 J

The net work done on the pinecone is equal to its change in kinetic energy:

Wnet = KEf - KEi = 106.24 J - 0 J = 106.24 J

Work done by air resistance = Wnet - Wg

where Wg is the work done by gravity.

The gravitational potential energy that the pinecone loses throughout its descent is equivalent to the work done by gravity.

Wg=m*g* h

where h is the height from which the pinecone falls and g is the acceleration caused by gravity (9.81 m/s2). (16 m).

Substituting the given values, we get:

Wg=0.16kg* 9.81 m/s²*16m=25.08 J

The job that air resistance does is:

Work done by air resistance = Wnet - Wg = 106.24 J - 25.08 J = 81.16 J

So, the work done on the pinecone by air resistance is 81.16 J.

(b) The average force of air resistance exerted on the pinecone can be found using the equation:

Work done by air resistance = force of air resistance * distance

where the distance is the height that the pinecone falls (16 m).

Rearranging the equation, we get:

force of air resistance = Work done by air resistance / distance

Substituting the values we found in part (a), we get:

force of air resistance = 81.16 J / 16 m = 5.0725 N

Therefore, the average force of air resistance exerted on the pinecone is 5.0725 N.

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The foundation of biology is modern cell theory, which is a commonly recognized explanation of the relationship between cells and living things.

Because it has been independently verified by numerous scientists working together, scientific knowledge is regarded as lasting. Independent researchers utilize the scientific method to generate factual data and knowledge that adds to the body of knowledge in their subject.

A generalized collection of laws and hypotheses developed using the scientific method and intended to explain a phenomenon or behavior of interest is referred to as scientific knowledge. Theories are methodical explanations of the underlying phenomenon or behavior, whereas laws are recognized patterns of occurrences or behaviors.

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To convert one system of unit to another  of derived quantities is not a use of dimensional analysis.

Checking for consistency in the dimensions on both sides of an equation entails looking at the dimensions of the physical quantities involved in a problem, such as length, mass, time, electric charge, and temperature.

The core tenet of dimensional analysis is that physical quantities, such as length, mass, and time, may be described in terms of their basic dimensions.

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All of the options listed are included in the uses of dimensional analysis.

Dimensional analysis is a powerful tool used in physics to:

The dimensional analysis involves analyzing the dimensions of physical quantities and using them to establish relationships between them.

By using the principles of dimensional analysis, we can simplify complex physical problems and gain insights into the behavior of physical systems.

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The sliding filament theory explains how myosin and actin interact to cause a muscle contraction.  There are 5 stages: resting, excitement-contraction, contraction, recharge, and relaxation.

IF this helped please give Brainliest!!

1 The resting phase is before there is any tension in the muscle, pretty self explanatory.

2 The excitement-contraction phase occurs once the sarcoplasmic reticulum (SR) releases calcium, that binds to troponin, which causes tropomyosin to shift, allowing the myosin cross-bridge to attach to actin. The muscle force is determined by the number of cross bridges involved.  When there's an increase in the number of cross-bridges, myofibril and sarcoplasmic reticulum hypertrophy, which result in more actin + myosin and more fuel for the muscle respectively.  To increase the power generated in a contraction, there needs to be an increase in the speed of cross bridges.  Also make note: at this point, the muscle still hasn't quite contracted.

3 The contraction phase is where the power stroke occurs.  ATP undergoes hydrolysis via the enzyme myosin ATPase, and loses a phosphate to become ADP.  This allows the myosin head to change shape and pull on the actin, which is referred to as the power stroke.  Myosin pulling on actin causes the muscle fiber to shorten.

4 The recharge phase is when the contraction continues and can only occur when calcium, ATP, and myosin ATPase are all still available.

5 The relaxation phase occurs when nerve stimulation stops and those components are no longer available.  The calcium returns to the sarcoplasmic reticulum and myosin lets go of actin.

Answer:

While different religious groups like Hinduism, Sikhism, Jainism, and Buddhism belief in reincarnation and that a person has the chance to be reborn as a new person, depending on how the current life is, Christianity holds a different belief in that there is no reincarnation per se, but there is an afterlife with God for eternity in His kingdom.

Explanation:

The basic concept of reincarnation is a belief held by major religions of the world such as Hinduism, Jainism, Buddhism, and Sikhism. This philosophical belief holds that there is a rebirth or transference of an aspect of a person, be it the soul or mind or any subconscious to a different entity after one dies.

While Christianity does not specifically belief in reincarnation, it does hold the belief that the physical or bodily death of a person is not the end of that person. Rather, Christians belief in the afterlife, a life of eternity with God in His kingdom. This is not the same as reincarnation, for it involves no such rebirth as some other animal or even into a new person or being.

Thus, the Christian belief of afterlife is much different from the other religious beliefs of reincarnation.

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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Answer:

A) 2.5 * 10^22 molecules

B) 3.33 * 10^-9 m

C) 1134 miles/hour

D) average spacing = 2.1 m ,  New mass = 17 kg

Explanation:

Given data :

diameter of atom = 10^-10 m

volume of air = 1 liter

molar masses : 28 g/mol of N2,  32 g/mol of O2

atmospheric pressure = 10^5 Pa

attached below is the detailed solution

Answer:

potential energy

Explanation:

this is because potential energy= mgh

so when m= 2m

p.e. = 2 times the previous value

Therefore , When mass is doubled , Potential energy gets doubled. When mass is halved , Potential energy decreases by half.

Answer:

1(a) 55.0°

1(b) 58.3°

2(a) 10.2 N

2(b) 2.61 m/s²

3(a) 76.7°

3(b) 12.8 m/s

3(c) 3.41 s

3(d) 21.8 m/s

3(e) 18.5 m

4(a) 7.35 m/s²

4(b) 31.3 m/s²

4(c) 12.8 m/s²

Explanation:

1) Draw a free body diagram on the beam.  There are five forces:

Weight force mg pulling down at the center of the beam,

Normal force Na pushing up at point A,

Friction force Na μa pushing left at point A,

Normal force Nb pushing perpendicular to the incline at point B,

Friction force Nb μb pushing up the incline at point B.

There are 3 unknown variables: Na, Nb, and θ.  So we're going to need 3 equations.

Sum of forces in the x direction:

∑F = ma

-Na μa + Nb sin φ − Nb μb cos φ = 0

Nb (sin φ − μb cos φ) = Na μa

Nb / Na = μa / (sin φ − μb cos φ)

Sum of forces in the y direction:

∑F = ma

Na + Nb cos φ + Nb μb sin φ − mg = 0

Na = mg − Nb (cos φ + μb sin φ)

Sum of torques about point B:

∑τ = Iα

-mg (L/2) cos θ + Na L cos θ − Na μa L sin θ = 0

mg (L/2) cos θ = Na L cos θ − Na μa L sin θ

mg cos θ = 2 Na cos θ − 2 Na μa sin θ

mg = 2 Na − 2 Na μa tan θ

Substitute:

Na = 2 Na − 2 Na μa tan θ − Nb (cos φ + μb sin φ)

0 = Na − 2 Na μa tan θ − Nb (cos φ + μb sin φ)

Na (1 − 2 μa tan θ) = Nb (cos φ + μb sin φ)

1 − 2 μa tan θ = (Nb / Na) (cos φ + μb sin φ)

2 μa tan θ = 1 − (Nb / Na) (cos φ + μb sin φ)

Substitute again:

2 μa tan θ = 1 − [μa / (sin φ − μb cos φ)] (cos φ + μb sin φ)

tan θ = 1/(2 μa) − (cos φ + μb sin φ) / (2 sin φ − 2 μb cos φ)

a) If φ = 70°, then θ = 55.0°.

b) If φ = 90°, then θ = 58.3°.

2) Draw a free body diagram of each mass.  For each mass, there are four forces.  For mass A:

Weight force Ma g pulling down,

Normal force Na pushing perpendicular to the incline,

Friction force Na μa pushing parallel down the incline,

Tension force T pulling parallel up the incline.

For mass B:

Weight force Mb g pulling down,

Normal force Nb pushing perpendicular to the incline,

Friction force Nb μb pushing parallel up the incline,

Tension force T pulling up the incline.

There are four unknown variables: Na, Nb, T, and a.  So we'll need four equations.

Sum of forces on A in the perpendicular direction:

∑F = ma

Na − Ma g cos θ = 0

Na = Ma g cos θ

Sum of forces on A up the incline:

∑F = ma

T − Na μa − Ma g sin θ = Ma a

T − Ma g cos θ μa − Ma g sin θ = Ma a

Sum of forces on B in the perpendicular direction:

∑F = ma

Nb − Mb g cos φ = 0

Nb = Mb g cos φ

Sum of forces on B down the incline:

∑F = ma

-T − Nb μb + Mb g sin φ = Mb a

-T − Mb g cos φ μb + Mb g sin φ = Mb a

Add together to eliminate T:

-Ma g cos θ μa − Ma g sin θ − Mb g cos φ μb + Mb g sin φ = Ma a + Mb a

g (-Ma (cos θ μa + sin θ) − Mb (cos φ μb − sin φ)) = (Ma + Mb) a

a = -g (Ma (cos θ μa + sin θ) + Mb (cos φ μb − sin φ)) / (Ma + Mb)

a = 2.61 m/s²

Plug into either equation to find T.

T = 10.2 N

3i) Given:

Δx = 3.7 m

vᵧ = 0 m/s

aₓ = 0 m/s²

aᵧ = -10 m/s²

t = 1.25 s

Find: v₀ₓ, v₀ᵧ

Δx = v₀ₓ t + ½ aₓ t²

3.7 m = v₀ₓ (1.25 s) + ½ (0 m/s²) (1.25 s)²

v₀ₓ = 2.96 m/s

vᵧ = aᵧt + v₀ᵧ

0 m/s = (-10 m/s²) (1.25 s) + v₀ᵧ

v₀ᵧ = 12.5 m/s

a) tan θ = v₀ᵧ / v₀ₓ

θ = 76.7°

b) v₀² = v₀ₓ² + v₀ᵧ²

v₀ = 12.8 m/s

3ii) Given:

Δx = D cos 57°

Δy = -D sin 57°

v₀ₓ = 2.96 m/s

v₀ᵧ = 12.5 m/s

aₓ = 0 m/s²

aᵧ = -10 m/s²

c) Find t

Δx = v₀ₓ t + ½ aₓ t²

D cos 57° = (2.96 m/s) t + ½ (0 m/s²) t²

D cos 57° = 2.96t

Δy = v₀ᵧ t + ½ aᵧ t²

-D sin 57° = (12.5 m/s) t + ½ (-10 m/s²) t²

-D sin 57° = 12.5t − 5t²

Divide:

-tan 57° = (12.5t − 5t²) / 2.96t

-4.558t = 12.5t − 5t²

0 = 17.058t  − 5t²

t = 3.41 s

d) Find v

vₓ = aₓt + v₀ₓ

vₓ = (0 m/s²) (3.41 s) + 2.96 m/s

vₓ = 2.96 m/s

vᵧ = aᵧt + v₀ᵧ

vᵧ = (-10 m/s²) (3.41 s) + 12.5 m/s

vᵧ = -21.6 m/s

v² = vₓ² + vᵧ²

v = 21.8 m/s

e) Find D.

D cos 57° = 2.96t

D = 18.5 m

4) Given:

R = 90 m

d = 140 m

v₀ = 0 m/s

at = 0.7t m/s²

The distance to the opposite side of the curve is:

140 m + (90 m) (π/2) = 281 m

a) Find Δx and v if t = 10.5 s.

at = 0.7t

Integrate:

vt = 0.35t² + v₀

vt = 0.35 (10.5)²

vt = 38.6 m/s

Integrate again:

Δx = 0.1167 t³ + v₀ t + x₀

Δx = 0.1167 (10.5)³

Δx = 135 m

The car has not yet reached the curve, so the acceleration is purely tangential.

at = 0.7 (10.5)

at = 7.35 m/s²

b) Find Δx and v if t = 12.2 s.

at = 0.7t

Integrate:

vt = 0.35t² + v₀

vt = 0.35 (12.2)²

vt = 52.1 m/s

Integrate again:

Δx = 0.1167 t³ + v₀ t + x₀

Δx = 0.1167 (12.2)³

Δx = 212 m

The car is in the curve, so it has both tangential and centripetal accelerations.

at = 0.7 (12.2)

at = 8.54 m/s²

ac = v² / r

ac = (52.1 m/s)² / (90 m)

ac = 30.2 m/s²

a² = at² + ac²

a = 31.3 m/s²

c) Given:

Δx = 187 m

v₀ = 0 m/s

at = 3 m/s²

Find: v

v² = v₀² + 2aΔx

v² = (0 m/s)² + 2 (3 m/s²) (187 m)

v = 33.5 m/s

ac = v² / r

ac = (33.5 m/s)² / 90 m

ac = 12.5 m/s²

a² = at² + ac²

a = 12.8 m/s²

Answer:

the magnetic force on the proton is zero.

Explanation:

Given;

speed of the proton, v = 10 m/s

magnitude of the magnetic field, B = 3 T

The magnitude of the magnetic force on the particle is calculated as;

F = qvBsinθ

where;

θ is the angle between the velocity of the particle and the magnetic field

Since the particle is moving parallel to the magnetic field, θ = 0

F = qvBsin(0)

F = 0

Therefore, the magnetic force on the proton is zero.

Answer:

This is a trick question, in that the numbers do not matter.

Study the dependence of the magnetic force on the direction of the magnetic field and the direction of motion of the particle. When is it a maximum? When is it a minimum?

Hint: In vector notation, this is often expressed as q v x B, where q is the electric charge of the particle, v is its velocity (a vector), and B is the magnetic field vector.

When the current in the wire is decreasing the oppose magnitude of the magnetic flux in the loops is decreasing.

Induced currents in the loops and the forces exerted on them are directed so they oppose this change

Magnetic flux is a size of the entire magnetic subject which passes thru a given region. it's far a useful device for helping describe the outcomes of the magnetic pressure on some thing occupying a given location.

Magnetic flux through a surface is the surface integral of the ordinary element of the magnetic subject B over that floor. it is also denoted Φ or ΦB. The SI unit of magnetic flux is the weber, and the CGS unit is the maxwell.

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